4. Which explains why the sequence 81, 3, 1/9,... is arithmetic or geometric?
A)The sequence is arithmetic because it decreases by a factor of 1/27
B)The sequence is geometric because it decreases by a factor of 1/27
C)The sequence is arithmetic because it decreases by a factor of 3.
D)The sequence is geometric because it decreases by the factor of 3.
6. Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence.
3, 10, 17, 24, 31, 38,...
A)n + 7;707
B)7n; 700
C)7n-4; 696
D)6n-4; 596
9.The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers, how far away a storm is. How far away is a storm if 12 seconds elapse between the lightning and the thunderclap?
Use the formula d=t/3, where t is the time, in seconds, between the flash and the thunderclap.
A)4 kilometers
B)5 kilometers
C)15 kilometers
D)36 kilometers
10. X Y Write a rule for the
0 9 function represented
1 28 by the table.
2 47
3 66
A) y=9+19x
B) y=18+10x
C) y=19+9x
D) y=10+18x
15. Bill takes a loan of $9,000.00 at a 8% simple interest rate for 6 years.
a. How much interest will he pay in total for the loan?
b. How much interest will he pay in total for the loan?
A)$720.00;$3,600.00
B)$1,408.00;$4,224.00
C)$36,000.00;$12,000.00
D)$1,440.00;$4,320.00
4. B
6. C
9. A
15. D
I don't know very much. Math is not my forte. I am like a third grader when it comes to math.
thanks I guess for part of the answers...
4. To determine whether the sequence 81, 3, 1/9,... is arithmetic or geometric, we need to check if there is a common difference or a common ratio between the terms.
If the sequence is arithmetic, there will be a common difference between consecutive terms. To check this, we subtract each term by the previous term:
3 - 81 = -78
1/9 - 3 = -2 8/9 = -26/9
Since there is no constant difference, the sequence is not arithmetic.
If the sequence is geometric, there will be a common ratio between consecutive terms. To check this, we divide each term by the previous term:
3 / 81 = 1/27
1/9 / 3 = 1/27
Since there is a common ratio of 1/27, the sequence is geometric.
Therefore, the correct answer is B) The sequence is geometric because it decreases by a factor of 1/27.
6. To write an expression for the rule of the sequence 3, 10, 17, 24, 31, 38,..., we can observe that each term is obtained by adding 7 to the previous term. We can represent this rule as n + 7, where n represents the term number.
To find the 100th term, we substitute n = 100 into the expression:
100 + 7 = 107
Therefore, the 100th term in the sequence is 107.
The correct answer is A) n + 7; 707.
9. To find the distance of a storm, we can use the formula d = t/3, where d represents the distance in kilometers and t is the time in seconds between the flash and the thunderclap.
Given that 12 seconds elapse between the lightning and thunderclap, we can substitute this value into the formula:
d = 12/3 = 4 kilometers
Therefore, the storm is 4 kilometers away.
The correct answer is A) 4 kilometers.
10. To determine the rule for the function represented by the given table, we can observe that the value of Y increases by 19 each time X increments by 1.
We can represent this rule as y = 9 + 19x, where x represents the value of X.
The correct answer is A) y = 9 + 19x.
15. For a loan of $9,000.00 at a 8% simple interest rate for 6 years:
a. The total interest paid for the loan can be calculated using the formula: Interest = Principal × Rate × Time.
=> Interest = $9,000.00 × 0.08 × 6 = $4,320.00
b. The total amount repaid for the loan can be calculated by adding the interest to the principal:
=> Total amount repaid = Principal + Interest = $9,000.00 + $4,320.00 = $13,320.00
Therefore, the correct answer is D) $1,440.00; $4,320.00.